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Finding the Fourth Proportional to 17,731.92, 26,597.76 and 7,201.80

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Solution

The fourth proportional to 17,731.92, 26,597.76 and 7,201.80 is: 10,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,731.92 : 26,597.76 = 7,201.80 : x
  2. Step 2: Convert to fraction form
    17,731.92/26,597.76 = 7,201.80/x
  3. Step 3: Cross multiply
    17,731.92x = 26,597.76 × 7,201.80
  4. Step 4: Simplify right side
    17,731.92x = 191,551,747.97
  5. Step 5: Solve for x
    x = 191,551,747.97/17,731.92
  6. Step 6: Final answer
    x = 10,802.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.